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yaroslaw [1]
3 years ago
15

Solve the following inequation and represent the solution set on the number line

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
4 0

Answer:

x\in

Step-by-step explanation:

-\frac{8}{3}

Separate the inequalities.

\frac{x+1}{3}>-\frac{8}{3};\frac{x+1}{3}

Multiply by the denominator (3) on both sides.

3\times\frac{x+1}{3}>-\frac{8}{3}\times 3= x+1>-8

Subtract 1 from both sides.

x+1(-1)>-8(-1)\\\\x>-9

Repeat aforementioned steps for the second inequality.

3\times\frac{x+1}{3}10(-1)\\\\x

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2y=4\implies y=\cfrac{4}{2}\implies y=2
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Lonna uses 8.2 pints of blue paint and white paint to paint her bedroom walls. 2 5 of this amount is blue paint, and the rest is
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The table shows the beverage preferences of 50 shoppers at the mall.
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3 years ago
Read 2 more answers
Find the value of x and y
Natalija [7]

Hello and Good Morning/Afternoon:

<u>Let's take this problem step-by-step</u>:

<u>What does the information want:</u>

  • value of x
  • value of y

<u>Let's gather some information</u>:

  • ΔA'BC' and ΔABC are similar triangles

             ⇒ Angle B is shared by both triangles

             ⇒ Angle A' and A are the same, as they are both on parallel

                   lines, A'C' and AC, and both angles are formed with the

                   same line AB

                 ⇒ by the <em>Angle-Angle Theorem*</em>, they are similar triangles

<u>If they are similar triangles</u>:

   ⇒ their side lengths are proportional to each other

  • let's find x's value

          ⇒ let's set up a proportion

                 \frac{A'B}{AB} =\frac{A'C'}{AC} \\\frac{30}{x+30} =\frac{14}{22} \\14(x+30) = 30*22\\14x + 420 = 660\\14x = 240\\x = 17.143

  • let's find y's value

          ⇒ let's set up a proportion

                 \frac{BC'}{BC} =\frac{A'C'}{AC} \\\frac{y}{y+15} =\frac{14}{22} \\22y=14(y+15)\\22y=14y+210\\8y=210\\y=26.25

<u>Answer:</u>

  • <u>x= 17.143</u>
  • <u>y = 26.25</u>

Hope that helps!

#LearnwithBrainly

 

5 0
2 years ago
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